To find the probability that no black ball is chosen when drawing 3 balls at random, we can use the concept of probability. Total number of balls = 5 yellow + 4 black + 3 green = 12 balls Number of ways to choose 3 balls out of 12 = C(12, 3) = 220 (combination formula) Now, let's find the number of ways to choose 3 balls without any black ball: Number of ways to choose 3 balls without black = C(8, 3) * C(4, 0) = C(8, 3) * 1 (Choosing 0 black balls from 4 black balls) = 56 * 1 = 56 So, the probability P(no black ball) = (Number of ways to choose 3 balls without black) / (Total number of ways to choose 3 balls) P(no black ball)= 56/220 Simplify the fraction: P(no black ball)= 14/55 Therefore, the probability that no black ball is chosen when drawing 3 balls at random is 14/55.

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